Finding the Third Proportional to 456,412 and 710,454

Step by Step Solution

1. Step 1: Write the proportion equation
   456,412 : 710,454 = 710,454 : x
2. Step 2: Convert to fraction form
   456,412/710,454 = 710,454/x
3. Step 3: Cross multiply
   456,412x = 710,454 × 710,454
4. Step 4: Simplify right side
   456,412x = 504,744,886,116
5. Step 5: Solve for x
   x = 504,744,886,116/456,412
6. Step 6: Final answer
   x = 1,105,897.49